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A204965 Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order 1
1001, 10416, 107004, 1085013, 11064389, 112737183, 1148525798, 11702245817, 119229499197, 1214782915724, 12376980933171, 126104433912865, 1284831124127710, 13090666419795969, 133375927901618445 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A204971

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 11*a(n-1) -9*a(n-2) +29*a(n-3) -210*a(n-4) +7*a(n-5) -971*a(n-6) -1388*a(n-7) +7393*a(n-8) -9606*a(n-9) +28079*a(n-10) +10781*a(n-11) -46816*a(n-12) +50251*a(n-13) -90767*a(n-14) -9183*a(n-15) -77397*a(n-16) -116946*a(n-17) +369968*a(n-18) -32805*a(n-19) +176157*a(n-20) -170891*a(n-21) -179390*a(n-22) +410642*a(n-23) -65329*a(n-24) -113084*a(n-25) -317433*a(n-26) -82066*a(n-27) +51363*a(n-28) +113397*a(n-29) +72303*a(n-30) +47130*a(n-31) +5496*a(n-32) -11433*a(n-33) -7478*a(n-34) -7206*a(n-35) -1902*a(n-36) -664*a(n-37) +48*a(n-38) -80*a(n-39) for n>40

EXAMPLE

Some solutions for n=3

..0..0..1..1....0..1..0..0....0..0..1..0....0..1..1..1....0..0..0..0

..0..1..0..0....1..1..1..1....1..0..1..0....1..0..0..1....1..0..1..0

..0..0..0..0....0..1..1..1....0..0..1..1....0..0..0..1....0..0..0..1

..0..0..0..0....1..0..1..1....0..0..0..0....1..0..1..1....1..0..1..0

..1..0..1..1....1..1..1..1....0..0..0..1....1..0..1..1....1..0..0..0

CROSSREFS

Sequence in context: A328947 A114387 A357774 * A192776 A218640 A221347

Adjacent sequences: A204962 A204963 A204964 * A204966 A204967 A204968

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 21 2012

STATUS

approved

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Last modified November 27 06:50 EST 2022. Contains 358362 sequences. (Running on oeis4.)